Answer:
<h2>
y = -⁵/₃x + 8</h2>
Step-by-step explanation:
The equation of the line in slope-intercept form: y = mx + b, where <em>m</em> is a slope and <em>b</em> is y-intercept
Slope of line that passes through two given points: ![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
(0, 8) ⇒ x₁ = 0, y₁ = 8
(3, 3) ⇒ x₂ = 3, y₂ = 3
![\bold{m=\dfrac{3-8}{3-0}=\dfrac{-5}3=-\dfrac53}](https://tex.z-dn.net/?f=%5Cbold%7Bm%3D%5Cdfrac%7B3-8%7D%7B3-0%7D%3D%5Cdfrac%7B-5%7D3%3D-%5Cdfrac53%7D)
b = 8
Therefore the equation: y = -⁵/₃x + 8
-1/2 is a rational number because it does not go on for infinity
:)))
Answer:
W'(27,45)
Step-by-step explanation:
First we must fnd the scale factor of the dilation and then multiply the coordinates of W(3,5) by the scale factor.
Let k be the scale factor of the dilation centered at the origin.
The mapping for a dilation by a scale factor k is
![(x,y)\to (kx,ky)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28kx%2Cky%29)
![Q( - 3,4)\to Q'( - 3k,4k)](https://tex.z-dn.net/?f=Q%28%20-%203%2C4%29%5Cto%20Q%27%28%20-%203k%2C4k%29)
But we were given the coordinates of the image, which is
Q'(-27,36)
Comparing coordinates:
![4k = 36](https://tex.z-dn.net/?f=4k%20%3D%2036)
![\implies \: k = 9](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%20k%20%3D%209)
We could compare the first coordinates too and get the same result.
The image of W(3,5) is given by:
![W(3,5) \to \: W'(3 \times 9,5 \times 9)](https://tex.z-dn.net/?f=W%283%2C5%29%20%5Cto%20%5C%3A%20W%27%283%20%5Ctimes%209%2C5%20%5Ctimes%209%29)
![W(3,5) \to \: W'(27,45)](https://tex.z-dn.net/?f=W%283%2C5%29%20%5Cto%20%5C%3A%20W%27%2827%2C45%29)
The correct answer is A. The total points Shelly earned